10498734400 has 504 divisors, whose sum is σ = 33243650048. Its totient is φ = 3193344000.

The previous prime is 10498734397. The next prime is 10498734403. The reversal of 10498734400 is 443789401.

It is an interprime number because it is at equal distance from previous prime (10498734397) and next prime (10498734403).

It is a super-2 number, since 2×10498734400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498734403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82667137 + ... + 82667263.

Almost surely, 2^10498734400 is an apocalyptic number.

10498734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10498734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621825024).

10498734400 is an abundant number, since it is smaller than the sum of its proper divisors (22744915648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10498734400 is a wasteful number, since it uses less digits than its factorization.

10498734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 10498734400 in words is "ten billion, four hundred ninety-eight million, seven hundred thirty-four thousand, four hundred".